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3 years ago

Find the measures of two complementary angles if the difference in the measures of the two angles is 14

2 answers:

6 0

Complementary angles add to 90 degrees
so let's say they are x and y
and x>y

x+y=90

the differenc is 14
x-y=14
neat

x-y=14
add y to both sides
x=14+y
subsitut 14+y for x in other equation

x+y=90
14+y+y=90
14+2y=90
minus 14 both sides
2y=76
divide both sides by 2
y=38
sub back

x=14+y
x=14+38
x=52

the 2 angles measure 38 degrees and 52 degrees

ira [324]3 years ago

5 0

Complementary angles are angles that measure up to 90 degrees.

To find the measures of the two angles, divide 90 by two to say two angles of 45 degrees. Now divide 14 by 2, which you get 7 with. Now add 7 to 45 and subtract it from 45 as well, to get 52 and 38.

The measures of the angles are 52 degrees and 38 degrees.

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Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 700, \sigma = 50$ .

The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:

X = 790:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{790 - 700}{50}$

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{575 - 700}{50}$

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

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3 0

2 years ago

PLEASE HELP i’ll mark brainliest ASAPP

chubhunter [2.5K]

Answer:

C. 4x squared -36

Step-by-step explanation:

8 0

3 years ago

In ABC, A = 4x, B = 3x + 1, C = 7x + 11. List the sides of ABC in order from shortest to longest.

BlackZzzverrR [31]

Sum of all angles of a triangle is equal to 180°. Therefore,

A + B + C = 180

Given that, A = 4x, B = 3x + 1, C = 7x + 11.

Hence, we can set up an equation as following:

4x + 3x + 1 + 7x + 11 = 180

14x + 12 = 180 Combine the like terms.

14x + 12 -12 = 180 - 12 Subtract 12 from each sides.

14x = 168

$\frac{14x}{14} =\frac{168}{14}$ Divide each sides by 14.

So, x= 12.

Now by plug in x=12 in the given expressions of A, B and C we can get the measure of eah angles of the triangle. Therefore,

A = 4x = 4(12) = 48

B= 3x + 1= 3(12) + 1 = 36 + 1 = 37

C= 7x + 11 = 7(12) + 11 = 84 + 11 =95

From the above result we can see that C is the largest angle and B is the smallest angle.

There is a relationship of a triangle which state that the largest side is opposite side of the largest angle and similarly smallest side is opposite side of the smallest angle.

Here AB is the opposite side of the largest angle C. So, AB is the largest side.

Similarly AC is the smallest side.

So, the order from shortest to longest is B: AC, BC, AB

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4 years ago

Need help with this logic puzzle

Mars2501 [29]

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